Local-periodic solutions for functional dynamic equations with infinite delay on changing-periodic time scales-Reference-Cited by-同舟云学术

Local-periodic solutions for functional dynamic equations with infinite delay on changing-periodic time scales

Published:2018-11-20 Issue:6 Volume:68 Page:1397-1420
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Wang Chao¹,Agarwal Ravi P.²³,O’Regan Donal⁴

Affiliation:

1. Department of Mathematics , Yunnan University Kunming , Yunnan , 650091 , China

2. Department of Mathematics , Texas A&M University-Kingsville , TX 78363-8202 , Kingsville , USA

3. Department of Mathematical Sciences , Florida Institute of Technology , Melbourne , FL 32901 , USA

4. School of Mathematics Statistics and Applied Mathematics , National University of Ireland , Galway , Ireland

Abstract

Abstract In this paper, by using the concept of changing-periodic time scales and composition theorem of time scales introduced in 2015, we establish a local phase space for functional dynamic equations with infinite delay (FDEID) on an arbitrary time scale with a bounded graininess function μ. Through Krasnoseľskiĭ’s fixed point theorem, some sufficient conditions for the existence of local-periodic solutions for FDEID are established for the first time. This research indicates that one can extract a local-periodic solution for dynamic equations on an arbitrary time scale with a bounded graininess function μ through some index function.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0190/pdf

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